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If A+B+C=pi, prove that : (sin 2A+sin 2B...

If `A+B+C=pi`, prove that : `(sin 2A+sin 2B + sin 2C)/(sinA+sinB+sinC) = 8 sin, A/2 sin, B/2 sin, C/2`

A

`8 sin"" (A)/( 2) sin ""(B)/( 2) sin"" (C )/( 2)`

B

`8 cos"" (A)/( 2) cos ""(B)/( 2) cos"" (C )/( 2)`

C

`8 tan"" (A)/( 2) tan ""(B)/( 2) tan"" (C )/( 2)`

D

`8 cot"" (A)/( 2) cot ""(B)/( 2) cot"" (C )/( 2)`

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The correct Answer is:
A
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (6) ( MULTIPLE CHOICE QUESTIONS)
  1. If A +B = ( pi )/( 3) and cos A + cos B =1, then which of the followin...

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  2. In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to tanA/...

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  3. If A+B+C=pi, prove that : (sin 2A+sin 2B + sin 2C)/(sinA+sinB+sinC) = ...

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  4. (sin 2A+sin 2B + sin 2C)/(cos A + cos B + cos C-1) = 8 cos, A/2 cos, B...

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  5. if A+B+C=pi then sin^(2) A + sin^(2) B - sin^(2) C =

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  6. if A+B+C = pi then sin^(2)""(A)/(2)+sin^(2)""(B)/(2) + sin^(2)""(C )/...

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  7. If A+B+C=180^(@), then prove that cos^(2)(A)/(2)+cos^(2)(B)/(2)+cos^(2...

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  8. If alpha + beta + gamma, pi, then the value of sin ^(2) alpha + sin ^...

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  9. If alpha+beta+gamma=2pi, prove that : cos^2 alpha + cos^2 beta + cos^2...

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  10. In any triangle ABC, if ( sin A + sin B + sin C ) ( sin A + sin B - si...

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  11. If A,B,C are the angles of a triangle, then sin^(2) A + sin^(2) B + si...

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  12. cos^(2) A + cos^(2) B + cos^(2) C =

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  13. sin^(2) A + sin ^(2) B +sin^(2) C =

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  14. If A+B+C=pi , prove that : sin^2, A/2 + sin^2, B/2 -sin^2, C/2 =1-2 co...

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  15. If : cos^(2) A + cos^(2) B + cos^(2) C = 1, "then" : Delta ABC is

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  16. In a !ABC if sin A cos B = 1/4 and 3 tan A = B , then the triangle is

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  17. If any /\ABC, tanA+tanB+tanC=6 and tanAtanB=2, then the values of tanA...

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  18. If in a triangle ABC, tan A + tan B + tanC has the value 6, then the v...

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  19. In a triangle ABC if tanA: tan B : tan C = 3:4:5 then the value of sin...

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  20. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

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